<h2>题目编号 : 227</h2>
<div style="color:#666;font-size:80%;">10 January 2009</div><br />
<div class="problem_content">
<p>&quot;<i>The Chase</i>&quot; is a game played with two dice and an even number of players.</p>

<p>The players sit around a table; the game begins with two opposite players having one die each. On each turn, the two players with a die roll it.<br />
If a player rolls a 1, he passes the die to his neighbour on the left; if he rolls a 6, he passes the die to his neighbour on the right; otherwise, he keeps the die for the next turn.<br />
The game ends when one player has both dice after they have been rolled and passed, that player has then lost.</p>

<p>In a game with 100 players, what is the expected number of turns the game lasts?</p>
<p>Give your answer rounded to ten significant digits.</p>
</div><br />
